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A
Goldie theorem for differentiably prime rings
John Robert Fisher |
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Vol. 58 (1975), No. 1, 71–77
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Abstract |
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The main goal of this paper is to prove analogues of the Goldie theorems for associative rings with derivations. It is shown that a differentiably prime ring, with suitable chain conditions, has a differentiably simple Artinian total ring of quotients, and, conversely, that a differential subring which is an order in a differentiably simple Artinian ring is a differentiably prime ring which has the chain conditions referred to above. A similar theorem concerning differentiably semiprime rings which are orders in differentiably semi-simple rings is also given. |
Mathematical Subject Classification
Primary: 16A72
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Milestones
Received: 3 December 1973
Revised: 5 July 1974
Published: 1 May 1975
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Authors |
| John Robert Fisher | |
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